Browsing by Author "Shaw, Scott"
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Item Open Access Comparison if the convergence behaviour of three linear solvers for large, sparse unsymmetric matrices(1995) Shaw, ScottImplicit methods for the calculation of unsteady flows require the solution of large, sparse non-symmetric systems of linear equations. The size of such systems makes their solution by direct methods impractical and consequently iterative techniques are often used. A popular class of such methods are those based upon the conjugate gradient method. In this paper we examine three such methods, CGS, restarted GMRES and restarted GMRESR and compare their convergence properties.Item Open Access Solution of the Navier-Stokes equations for aerofoils undergoing in-plane oscillations(1995) Shaw, ScottAlthough a full simulation of the flow field generated around helicopter rotor blades in forward flight requires consideration of many complex interacting flow phenomena, such a fluctuations in the velocity and incidence of the oncoming flow, three dimensional effects, moving shock waves, shock induced separation and dynamic stall, considerable physical insight may be obtained by removing the influence of many of these phenomena and studying the simplified flows which result. In the present work the problems of moving shock waves and shock induced separation commonly encountered on the advancing side of helicopter rotor blades during forward flight are addressed by examining the behaviour of the flow field around aerofoils undergoing inplane oscillations, of the form M∞ = M(1)(1+µsin(ωt))at constant angles of incidence.